{"id":833,"date":"2023-07-28T14:48:22","date_gmt":"2023-07-28T14:48:22","guid":{"rendered":"https:\/\/statorials.org\/id\/python-distribusi-binomial\/"},"modified":"2023-07-28T14:48:22","modified_gmt":"2023-07-28T14:48:22","slug":"python-distribusi-binomial","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/python-distribusi-binomial\/","title":{"rendered":"Cara menggunakan distribusi binomial dengan python"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/id\/distribusi-binomial-1\/\" target=\"_blank\" rel=\"noopener\">Distribusi binomial<\/a> adalah salah satu distribusi yang paling umum digunakan dalam statistik. Ini menggambarkan probabilitas memperoleh <em>k<\/em> keberhasilan dalam <em>n<\/em> percobaan binomial.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jika suatu variabel acak <em>X<\/em> mengikuti distribusi binomial, maka peluang keberhasilan <em>X<\/em> = <em>k<\/em> dapat dicari dengan rumus berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X=k) = <sub>n<\/sub> C <sub>k<\/sub> * p <sup>k<\/sup> * (1-p) <sup>nk<\/sup><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> jumlah percobaan<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>k:<\/strong> jumlah keberhasilan<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>p:<\/strong> probabilitas keberhasilan pada percobaan tertentu<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>n<\/sub> C <sub>k<\/sub> :<\/strong> banyaknya cara untuk memperoleh <em>k<\/em> keberhasilan dalam <em>n<\/em> percobaan<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Tutorial ini menjelaskan cara menggunakan distribusi binomial dengan Python.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Cara menghasilkan distribusi binomial<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Anda dapat menghasilkan array nilai yang mengikuti distribusi binomial menggunakan fungsi <a href=\"https:\/\/numpy.org\/doc\/stable\/reference\/random\/generated\/numpy.random.binomial.html\" target=\"_blank\" rel=\"noopener\">random.binomial<\/a> perpustakaan numpy:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">from<\/span> numpy <span style=\"color: #107d3f;\">import<\/span> random\n\n<span style=\"color: #008080;\">#generate an array of 10 values that follows a binomial distribution<\/span>\nrandom.binomial(n=10, p=.25, size=10)\n\narray([5, 2, 1, 3, 3, 3, 2, 2, 1, 4])\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Setiap angka dalam tabel yang dihasilkan mewakili jumlah &#8220;keberhasilan&#8221; yang ditemui selama <strong>10<\/strong> percobaan dengan probabilitas keberhasilan dalam percobaan tertentu adalah <strong>0,25<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Cara menghitung probabilitas menggunakan distribusi binomial<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Anda juga dapat menjawab pertanyaan tentang probabilitas binomial menggunakan <a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.binom.html\" target=\"_blank\" rel=\"noopener\">fungsi binom<\/a> perpustakaan scipy.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Pertanyaan 1:<\/strong> Nathan melakukan 60% percobaan lemparan bebasnya. Jika dia melakukan 12 lemparan bebas, berapakah peluang dia berhasil tepat 10 lemparan bebas?<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">from<\/span> scipy.stats <span style=\"color: #107d3f;\">import<\/span> binom\n\n<span style=\"color: #008080;\">#calculate binomial probability<\/span>\nbinom.pmf(k= <span style=\"color: #107d3f;\">10<\/span> , n= <span style=\"color: #107d3f;\">12<\/span> , p= <span style=\"color: #107d3f;\">0.6<\/span> )\n\n0.0639\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Peluang Nathan melakukan tepat 10 lemparan bebas adalah <strong>0,0639<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Pertanyaan 2:<\/strong> Marty melempar koin sebanyak 5 kali. Berapa peluang munculnya koin tersebut sebanyak 2 kali atau kurang?<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">from<\/span> scipy.stats <span style=\"color: #107d3f;\">import<\/span> binom\n\n<span style=\"color: #008080;\">#calculate binomial probability<\/span>\nbinom.cdf(k= <span style=\"color: #107d3f;\">2<\/span> , n= <span style=\"color: #107d3f;\">5<\/span> , p= <span style=\"color: #107d3f;\">0.5<\/span> )\n\n0.5\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Peluang munculnya koin 2 kali atau kurang adalah <strong>0,5<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Pertanyaan 3:<\/strong> Kita tahu bahwa 70% orang mendukung undang-undang tertentu. Jika 10 orang dipilih secara acak, berapa peluang terambilnya antara 4 dan 6 orang yang mendukung undang-undang tersebut?<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">from<\/span> scipy.stats <span style=\"color: #107d3f;\">import<\/span> binom\n\n<span style=\"color: #008080;\">#calculate binomial probability<\/span>\nbinom.cdf(k= <span style=\"color: #107d3f;\">6<\/span> , n= <span style=\"color: #107d3f;\">10<\/span> , p= <span style=\"color: #107d3f;\">0.7<\/span> ) - binom.cdf(k= <span style=\"color: #107d3f;\">3<\/span> , n= <span style=\"color: #107d3f;\">10<\/span> , p= <span style=\"color: #107d3f;\">0.7<\/span> )\n\n0.3398\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Peluang antara 4 dan 6 orang yang dipilih secara acak mendukung hukum adalah <strong>0,3398<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bagaimana memvisualisasikan distribusi binomial<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Anda dapat memvisualisasikan distribusi binomial dengan Python menggunakan pustaka <strong>seaborn<\/strong> dan <strong>matplotlib<\/strong> :<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">from<\/span> numpy <span style=\"color: #107d3f;\">import<\/span> random\n<span style=\"color: #107d3f;\">import<\/span> matplotlib.pyplot <span style=\"color: #107d3f;\">as<\/span> plt\n<span style=\"color: #107d3f;\">import<\/span> seaborn <span style=\"color: #107d3f;\">as<\/span> sns\n\nx = random.binomial(n= <span style=\"color: #107d3f;\">10<\/span> , p= <span style=\"color: #107d3f;\">0.5<\/span> , size= <span style=\"color: #107d3f;\">1000<\/span> )\n\nsns.distplot(x, hist= <span style=\"color: #107d3f;\">True<\/span> , kde= <span style=\"color: #107d3f;\">False<\/span> )\n\nplt.show()\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9215 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/binomepython1.png\" alt=\"Plot Distribusi Binomial dengan Python\" width=\"396\" height=\"262\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">teh<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Distribusi binomial adalah salah satu distribusi yang paling umum digunakan dalam statistik. Ini menggambarkan probabilitas memperoleh k keberhasilan dalam n percobaan binomial. Jika suatu variabel acak X mengikuti distribusi binomial, maka peluang keberhasilan X = k dapat dicari dengan rumus berikut: P(X=k) = n C k * p k * (1-p) nk Emas: n: jumlah [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Cara Menggunakan Distribusi Binomial dengan Python - Statologi<\/title>\n<meta name=\"description\" content=\"Penjelasan sederhana tentang cara menggunakan distribusi binomial dengan Python.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/id\/python-distribusi-binomial\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cara Menggunakan Distribusi Binomial dengan Python - Statologi\" \/>\n<meta property=\"og:description\" content=\"Penjelasan sederhana tentang cara menggunakan distribusi binomial dengan Python.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/python-distribusi-binomial\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T14:48:22+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/binomepython1.png\" \/>\n<meta name=\"author\" content=\"Benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/python-distribusi-binomial\/\",\"url\":\"https:\/\/statorials.org\/id\/python-distribusi-binomial\/\",\"name\":\"Cara Menggunakan Distribusi Binomial dengan Python - Statologi\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-28T14:48:22+00:00\",\"dateModified\":\"2023-07-28T14:48:22+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Penjelasan sederhana tentang cara menggunakan distribusi binomial dengan Python.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/python-distribusi-binomial\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/python-distribusi-binomial\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/python-distribusi-binomial\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cara menggunakan distribusi binomial dengan python\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/id\/#website\",\"url\":\"https:\/\/statorials.org\/id\/\",\"name\":\"Statorials\",\"description\":\"Panduan anda untuk kompetensi statistik!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/id\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"id\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\",\"name\":\"Benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin anderson\"},\"description\":\"Halo, saya Benjamin, pensiunan profesor statistika yang menjadi guru Statorial yang berdedikasi. 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